Faa di Bruno Hopf Algebras, Dyson-Schwinger Equations, and Lie-Butcher Series.
Faa di Bruno Hopf Algebras, Dyson-Schwinger Equations, and Lie-Butcher Series
Edited by Kurusch Ebrahimi-Fard and Frederic Fauvet
European Mathematical Soc.
IRMA Lectures in Mathematics and Theoretical Physics; Volume 21
Based on papers given at a conference, Dyson-Schwinger Equations and Faa di Bruno Hopf Algebras in Physics and Combinatorics (DSFdB2011), hosted in June and July 2011 by the Institut de Recherche Mathematique Avancee (IRMA) in France, the six essays in this volume discuss combinatorial Hopf algebras relevant to high energy physics, control theory, dynamical systems, quantum chromodynamics, and numerical integration methods, including connections to Faa di Bruno algebras, Dyson-Schwinger equations, and Butcher series. Contributors are math, physics, and engineering scholars from Europe, the US, and Australia. Distributed in the US by the American Mathematical Society.
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